On 12/28/2024 3:45 AM, Alan Grayson wrote:
Do you know how the SR problem is stated, I mean really know? It's like
this; you have a car and a *garage, with the car longer than the garage.
Can you use SR to make the car fit in the garage? Well, of course. All
that's required is to speed the car to a velocity which, from the frame
of the car, contracts the garage sufficiently to get it to fit.
*That's not even a correct statement of the paradox. You make the car
fit the the garage /*in the garage frame*/ by speeding the car up so the
car is Lorentz contracted (I really liked the original tank trap version
better).*
Problem solved, or so it appears. The various self appointed experts and
gurus have an allegedly better solution, but ostensibly somewhat more
complicated. Instead of considering length contraction of the garage,
they apply the disagreement about simultaneity to show the car won't fit
from the pov of the car frame, but does fit from the pov of the garage
frame. So, as you should be able to comprehend, both methods give the
SAME result! So where is the paradox?*
*Truly, it resides in the more-or-less unstated assumption, that there
exists an OBJECTIVE reality which precludes this result; that the car
fits in the garage frame, but doesn't fit in the car frame. *
It's not only unstated, it's un-assumed and non-existent. It's no one's
version of the paradox...much less "objective reality". Rather it is
Grayson's imagined reality.
Brent
*
*
*But AFAICT, nowhere is there a proof about the status of this alleged
objective reality, whether it exists or not, although SR does allow
different frames to make different measurements. Is this paradox a
departure from this general result? I don't know, but I'm working on
this issue. I recall that Brent denied its existence, but since I do
not understand his plots, I remain unsure of his claim. AG*
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